GCF for 81 and 108

What is the Greatest common Divisor of 81 and 108?

Answer: GCF of 81 and 108 is 27

(Twenty-seven)

Finding GCF for 81 and 108 using all factors (divisors) listing

The first method to find GCF for numbers 81 and 108 is to list all factors for both numbers and pick the highest common one:

All factors of 81: 1, 3, 9, 27, 81

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

So the Greatest Common Factor for 81 and 108 is 27

Finding GCF for 81 and 108 by Prime Factorization

The second method to find GCF for numbers 81 and 108 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 81: 3, 3, 3, 3

All Prime Factors of 108: 2, 2, 3, 3, 3

As we can see there are Prime Factors common to both numbers: 3, 3, 3

Now we need to multiply them to find GCF: 3 × 3 × 3 = 27

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 81 and 108? (The answer is: 27). Select the first number (e.g. '81') and the second number (e.g. '108'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

GCF Table

Number 1Number 2GCF
661086
671081
681084
691083
701082
711081
72108
731081
741082
751083
761084
771081
781086
791081
801084
81108
821082
831081
84108
851081
861082
871083
881084
891081
90108
911081
921084
931083
941082
951081

FAQ

What is the Greatest common Divisor of 81 and 108?

GCF of 81 and 108 is 27